Subgroups — C₂×#72286159 #72338188

Order 2048.

At least 6672 conjugacy classes of subgroups; only the 8912 normal subgroups are shown.

The subgroup lattice has 1130 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#494683	C₂	1	2	yes	maximal, complemented
2	C₂×#493744	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₄×#2122	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#497353	C₂	1	8	yes	maximal, complemented
5	C₂×#497293	C₂	1	4	yes	maximal, complemented
6	C₂×#494701	C₂	1	2	yes	maximal, complemented
7	C₂×#6379015	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#495148	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#495160	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#6379033	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₄×AΣL(1,𝔽₁₆)	C₂	1	4	yes	maximal, complemented
12	#72286159	C₂	1	32	yes	maximal, direct product factor
13	C₂²×#33348	C₂	1	2	yes	maximal, complemented
14	C₂×#7677118	C₂	1	1	yes	maximal, characteristic
15	C₂×#493425	C₂	1	2	yes	maximal, complemented
16	C₂²×#3498	C₂²	1	1	yes	characteristic
17	C₂²×#3484	C₂²	1	2	yes	—
18	C₂³×D₄²	C₄	1	1	yes	characteristic, complemented
19	C₂²×#2888	C₂²	1	2	yes	complemented
20	C₂²×#2883	C₂²	1	2	yes	complemented
21	#7677118	C₄	1	16	yes	complemented
22	#7677118	C₂²	1	16	yes	—
23	C₂×#39338	C₄	1	2	yes	complemented
24	C₂×#39338	C₂²	1	2	yes	—
25	C₂×#37644	C₄	1	4	yes	complemented
26	C₂×#37644	C₂²	1	4	yes	—
27	C₂×D₄×#120	C₄	1	2	yes	complemented
28	C₂×D₄×#120	C₂²	1	2	yes	—
29	C₂×#35514	C₄	1	2	yes	complemented
30	C₂×#35512	C₂²	1	2	yes	—
31	C₂×#35222	C₄	1	2	yes	complemented
32	C₂×#35165	C₄	1	1	yes	characteristic, complemented
33	C₂×#34936	C₄	1	1	yes	characteristic, complemented
34	C₂×#34935	C₂²	1	1	yes	characteristic
35	C₂×#34210	C₄	1	1	yes	characteristic, complemented
36	C₂×C₄×#535	C₂²	1	1	yes	characteristic
37	C₂×#33348	C₂²	1	32	yes	complemented
38	C₂²×#2122	C₂²	1	1	yes	characteristic
39	C₂²×#2122	C₂²	1	2	yes	—
40	C₂²×#2122	C₂²	1	1	yes	characteristic
41	C₂²×#2121	C₂²	1	8	yes	complemented
42	C₂²×#2120	C₂²	1	2	yes	complemented
43	C₂²×#2120	C₂²	1	2	yes	complemented
44	C₂²×#2120	C₂²	1	2	yes	complemented
45	C₂²×#2120	C₂²	1	2	yes	complemented
46	C₂³×AΣL(1,𝔽₁₆)	C₂²	1	8	yes	complemented
47	#6379033	C₂²	1	16	yes	complemented
48	C₂×D₄×#100	C₂²	1	4	yes	complemented
49	C₂×D₄×#100	C₂²	1	4	yes	complemented
50	#6379015	C₂²	1	16	yes	complemented
51	C₂×D₄×#99	C₂²	1	4	yes	complemented
52	C₂×D₄×#99	C₂²	1	4	yes	complemented
53	C₂×#20637	C₂²	1	1	yes	characteristic, complemented
54	C₂×#20632	C₂²	1	1	yes	characteristic, complemented
55	C₂×#20592	C₂²	1	2	yes	complemented
56	C₂×#20586	C₂²	1	2	yes	complemented
57	C₂×C₄×#413	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄×#410	C₂²	1	1	yes	characteristic, complemented
59	#497353	C₂²	1	128	yes	complemented
60	#497293	C₂²	1	64	yes	complemented
61	D₄×AΣL(1,𝔽₁₆)	C₂²	1	64	yes	complemented
62	#495160	C₂²	1	16	yes	complemented
63	C₂×#13222	C₂²	1	4	yes	complemented
64	C₂×#13221	C₂²	1	2	yes	complemented
65	C₂×#13220	C₂²	1	2	yes	complemented
66	#495148	C₂²	1	16	yes	complemented
67	C₂×#13219	C₂²	1	4	yes	complemented
68	C₂×#13218	C₂²	1	2	yes	complemented
69	C₂×#13217	C₂²	1	2	yes	complemented
70	#494701	C₂²	1	32	yes	complemented
71	C₂×#13086	C₂²	1	8	yes	complemented
72	C₂×#13084	C₂²	1	8	yes	complemented
73	#494683	C₂²	1	32	yes	complemented
74	C₂×#13082	C₂²	1	8	yes	complemented
75	C₂×#13080	C₂²	1	8	yes	complemented
76	#493744	C₂²	1	16	yes	complemented
77	C₂×#12795	C₂²	1	4	yes	complemented
78	C₂×#12793	C₂²	1	4	yes	complemented
79	#493425	C₂²	1	32	yes	complemented
80	C₂×#12690	C₂²	1	8	yes	complemented
81	C₂×#12687	C₂²	1	8	yes	complemented
82	C₄×#2122	C₂²	1	16	yes	complemented
83	C₂×#12622	C₂²	1	4	yes	complemented
84	C₂×C₄×AΣL(1,𝔽₁₆)	C₂²	1	4	yes	complemented
85	C₂×#12575	C₂²	1	1	yes	characteristic, complemented
86	C₂×#12575	C₂²	1	1	yes	characteristic, complemented
87	C₂×#12575	C₂²	1	2	yes	complemented
88	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
89	C₂⁵×D₄	C₂×C₄	1	2	yes	complemented
90	C₂⁵×D₄	C₂×C₄	1	2	yes	complemented
91	C₂×#3498	C₂×C₄	1	8	yes	—
92	C₂×#3498	D₄	1	8	yes	—
93	C₂×#3498	D₄	1	8	yes	—
94	C₂×#3498	C₂³	1	8	yes	—
95	C₂×#3484	C₂×C₄	1	16	yes	complemented
96	C₂×#3484	C₂³	1	16	yes	—
97	C₂²×#550	D₄	1	2	yes	—
98	C₂²×#550	D₄	1	2	yes	—
99	C₂²×D₄²	C₂×C₄	1	2	yes	—
100	C₂²×D₄²	C₂×C₄	1	2	yes	—
101	C₂²×D₄²	C₂×C₄	1	16	yes	complemented
102	C₂²×D₄²	D₄	1	2	yes	—
103	C₂²×D₄²	D₄	1	2	yes	—
104	C₂²×D₄²	C₂³	1	2	yes	—
105	C₂²×D₄²	C₂³	1	2	yes	—
106	C₂²×#535	C₂×C₄	1	2	yes	—
107	C₂²×#535	C₂×C₄	1	2	yes	complemented
108	C₂²×#535	D₄	1	2	yes	—
109	C₂²×#535	D₄	1	2	yes	—
110	C₂²×#535	C₂³	1	1	yes	characteristic
111	C₂²×#534	C₂×C₄	1	4	yes	complemented
112	C₂²×#534	C₂³	1	4	yes	—
113	C₂²×#532	C₂×C₄	1	1	yes	characteristic
114	C₂²×#532	D₄	1	1	yes	characteristic
115	C₂²×#532	D₄	1	1	yes	characteristic
116	C₂³×#127	C₂×C₄	1	1	yes	characteristic
117	C₂³×#127	D₄	1	1	yes	characteristic
118	C₂³×#127	D₄	1	1	yes	characteristic
119	C₂²×#525	C₂×C₄	1	2	yes	complemented
120	C₂²×#525	C₂×C₄	1	2	yes	complemented
121	C₂²×#525	C₂³	1	2	yes	—
122	C₂³×#121	C₂×C₄	1	2	yes	complemented
123	C₂³×#121	C₂×C₄	1	2	yes	complemented
124	C₂³×#120	C₂×C₄	1	4	yes	complemented
125	C₂³×#120	C₂×C₄	1	4	yes	complemented
126	C₂³×#120	C₂³	1	4	yes	—
127	C₂²×#518	C₂×C₄	1	2	yes	complemented
128	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
129	C₂³×C₄×D₄	C₂×C₄	1	1	yes	characteristic, complemented
130	C₂³×C₄×D₄	C₂×C₄	1	1	yes	characteristic, complemented
131	C₂×#2888	C₂³	1	16	yes	complemented
132	C₂²×#413	C₂³	1	1	yes	characteristic
133	C₂²×#413	C₂³	1	2	yes	—
134	C₂²×#413	C₂³	1	1	yes	characteristic
135	C₂³×#100	C₂³	1	8	yes	—
136	C₂×#2883	C₂³	1	16	yes	complemented
137	C₂²×#410	C₂³	1	1	yes	characteristic
138	C₂²×#410	C₂³	1	2	yes	—
139	C₂²×#410	C₂³	1	1	yes	characteristic
140	C₂³×#99	C₂³	1	8	yes	—
141	#39338	C₂×C₄	1	16	yes	complemented
142	#39338	C₂×C₄	1	32	yes	complemented
143	#39338	C₂³	1	16	yes	—
144	#37644	C₂×C₄	1	32	yes	complemented
145	#37644	C₂×C₄	1	64	yes	complemented
146	#37644	C₂³	1	32	yes	—
147	C₂×#2847	C₂×C₄	1	2	yes	complemented
148	C₂×#2847	C₂×C₄	1	2	yes	complemented
149	C₂×#2846	C₂×C₄	1	4	yes	complemented
150	C₂×#2846	C₂×C₄	1	4	yes	complemented
151	D₄×#120	C₂×C₄	1	16	yes	complemented
152	D₄×#120	C₂×C₄	1	32	yes	complemented
153	D₄×#120	C₂³	1	16	yes	—
154	#35514	C₂×C₄	1	32	yes	complemented
155	#35512	C₂×C₄	1	16	yes	complemented
156	#35512	C₂³	1	16	yes	—
157	#35222	C₂×C₄	1	32	yes	complemented
158	#35165	C₂×C₄	1	16	yes	complemented
159	#34936	C₂×C₄	1	16	yes	complemented
160	#34935	C₂×C₄	1	8	yes	complemented
161	#34935	C₂³	1	8	yes	—
162	C₂×#2539	C₂×C₄	1	4	yes	complemented
163	C₂×#2534	C₂×C₄	1	2	yes	complemented
164	C₂×#2534	C₂³	1	2	yes	—
165	C₂×#2501	C₂×C₄	1	2	yes	complemented
166	C₂×#2486	C₂×C₄	1	1	yes	characteristic, complemented
167	C₂×#2486	C₂³	1	1	yes	characteristic
168	C₂×#2433	C₂×C₄	1	2	yes	complemented
169	C₂×#2408	C₂×C₄	1	1	yes	characteristic, complemented
170	C₂×#2408	C₂³	1	1	yes	characteristic
171	C₂×#2412	C₂×C₄	1	4	yes	complemented
172	C₂×#2412	C₂×C₄	1	4	yes	complemented
173	C₂×#2405	C₂×C₄	1	4	yes	complemented
174	C₂×#2405	C₂³	1	4	yes	—
175	C₂×#2410	C₂×C₄	1	4	yes	complemented
176	C₂×#2410	C₂×C₄	1	4	yes	complemented
177	C₂×#2403	C₂×C₄	1	4	yes	complemented
178	C₂×#2403	C₂³	1	4	yes	—
179	C₂×#2617	C₂×C₄	1	4	yes	complemented
180	C₂×#2613	C₂×C₄	1	4	yes	complemented
181	C₂×#2613	C₂×C₄	1	4	yes	complemented
182	#34210	C₂×C₄	1	16	yes	complemented
183	C₂×D₄×C₂²⋊C₄	C₂×C₄	1	2	yes	complemented
184	C₂×D₄×C₂²⋊C₄	C₂×C₄	1	2	yes	complemented
185	C₂×D₄×C₂²⋊C₄	C₂×C₄	1	4	yes	complemented
186	C₄×#535	C₂×C₄	1	8	yes	complemented
187	C₄×#535	C₂³	1	8	yes	—
188	C₂×#2321	C₂×C₄	1	2	yes	complemented
189	C₂×#2321	C₂³	1	2	yes	—
190	C₂×#2317	C₂×C₄	1	1	yes	characteristic, complemented
191	C₂×#2311	C₂×C₄	1	2	yes	complemented
192	C₂×#2311	C₂³	1	1	yes	characteristic
193	C₂×#2309	C₂×C₄	1	2	yes	complemented
194	C₂×#2309	C₂×C₄	1	1	yes	characteristic, complemented
195	C₂×C₄×#120	C₂×C₄	1	2	yes	complemented
196	C₂×C₄×#120	C₂³	1	2	yes	—
197	C₂×#2285	C₂×C₄	1	1	yes	characteristic, complemented
198	C₂×#2280	C₂×C₄	1	2	yes	complemented
199	C₂×C₄×#117	C₂×C₄	1	1	yes	characteristic, complemented
200	C₂×#2122	D₄	1	16	yes	complemented
201	C₂×#2122	C₂³	1	16	yes	—
202	C₂×#2122	C₂³	1	8	yes	—
203	C₂×#2122	C₂³	1	8	yes	—
204	C₂×#2121	C₂³	1	64	yes	complemented
205	C₂×#2120	C₂³	1	16	yes	complemented
206	C₂×#2120	C₂³	1	16	yes	complemented
207	C₂×#2120	C₂³	1	16	yes	complemented
208	C₂×#2120	C₂³	1	16	yes	complemented
209	C₂²×#352	C₂³	1	4	yes	—
210	C₂²×#352	C₂³	1	4	yes	—
211	C₂²×#352	C₂³	1	4	yes	—
212	C₂²×#352	C₂³	1	4	yes	—
213	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
214	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	8	yes	—
215	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
216	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
217	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
218	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
219	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	4	yes	—
220	C₂²×AΣL(1,𝔽₁₆)	C₂³	1	64	yes	complemented
221	D₄×#100	C₂³	1	32	yes	complemented
222	D₄×#100	C₂³	1	32	yes	complemented
223	D₄×#99	C₂³	1	32	yes	complemented
224	D₄×#99	C₂³	1	32	yes	complemented
225	#20637	C₂³	1	8	yes	complemented
226	C₂×#1800	C₂³	1	2	yes	—
227	C₂×#1800	C₂³	1	2	yes	—
228	#20632	C₂³	1	8	yes	complemented
229	C₂×#1799	C₂³	1	2	yes	—
230	C₂×#1799	C₂³	1	2	yes	—
231	#20592	C₂³	1	16	yes	complemented
232	C₂×#1783	C₂³	1	8	yes	—
233	#20586	C₂³	1	16	yes	complemented
234	C₂×#1781	C₂³	1	8	yes	—
235	C₄×#413	C₂³	1	8	yes	complemented
236	C₂×C₄×#100	C₂³	1	2	yes	—
237	C₂×C₄×#100	C₂³	1	2	yes	—
238	C₄×#410	C₂³	1	8	yes	complemented
239	C₂×C₄×#99	C₂³	1	2	yes	—
240	C₂×C₄×#99	C₂³	1	2	yes	—
241	#13222	C₂³	1	32	yes	complemented
242	#13221	C₂³	1	16	yes	complemented
243	#13220	C₂³	1	16	yes	complemented
244	#13219	C₂³	1	32	yes	complemented
245	#13218	C₂³	1	16	yes	complemented
246	#13217	C₂³	1	16	yes	complemented
247	#13086	C₂³	1	64	yes	complemented
248	#13084	C₂³	1	64	yes	complemented
249	#13082	C₂³	1	64	yes	complemented
250	#13080	C₂³	1	64	yes	complemented
251	#12795	C₂³	1	32	yes	complemented
252	#12793	C₂³	1	32	yes	complemented
253	#12690	C₂³	1	64	yes	complemented
254	#12687	C₂³	1	64	yes	complemented
255	#12622	C₂³	1	32	yes	complemented
256	C₄×AΣL(1,𝔽₁₆)	C₂³	1	32	yes	complemented
257	#12575	C₂³	1	8	yes	complemented
258	#12575	C₂³	1	16	yes	complemented
259	#12575	C₂³	1	8	yes	complemented
260	C₂×#1390	C₂³	1	4	yes	—
261	C₂×#1390	C₂³	1	8	yes	—
262	C₂×#1390	C₂³	1	4	yes	—
263	C₂⁷	C₂²×C₄	1	4	yes	—
264	C₂²×H(5,𝔽₂)	C₂²×C₄	1	8	yes	—
265	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
266	C₂²×H(5,𝔽₂)	C₂×D₄	1	8	yes	—
267	C₂²×H(5,𝔽₂)	C₂⁴	1	8	yes	—
268	C₂³×#41	C₂²×C₄	1	2	yes	—
269	C₂³×#41	C₂×D₄	1	4	yes	—
270	C₂³×#41	C₂×D₄	1	2	yes	—
271	C₂³×#41	C₂×D₄	1	2	yes	—
272	C₂³×#41	C₂⁴	1	1	yes	characteristic
273	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	—
274	C₂⁴×D₄	C₂²⋊C₄	1	2	yes	—
275	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
276	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
277	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
278	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
279	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
280	C₂⁴×D₄	C₂²×C₄	1	2	yes	—
281	C₂⁴×D₄	C₂²×C₄	1	1	yes	characteristic
282	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
283	C₂⁴×D₄	C₂²×C₄	1	16	yes	complemented
284	C₂⁴×D₄	C₂²×C₄	1	16	yes	complemented
285	C₂⁴×D₄	C₂×D₄	1	4	yes	—
286	C₂⁴×D₄	C₂×D₄	1	2	yes	—
287	C₂⁴×D₄	C₂×D₄	1	2	yes	—
288	C₂⁴×D₄	C₂×D₄	1	2	yes	—
289	C₂⁴×D₄	C₂×D₄	1	2	yes	—
290	C₂⁴×D₄	C₂⁴	1	4	yes	—
291	C₂⁵×C₄	C₂²×C₄	1	2	yes	—
292	C₂⁵×C₄	C₂²×C₄	1	2	yes	—
293	C₂×#550	C₂²⋊C₄	1	16	yes	—
294	C₂×#550	C₂²⋊C₄	1	16	yes	—
295	C₂×#550	C₂×D₄	1	16	yes	—
296	C₂×#550	C₂×D₄	1	16	yes	—
297	C₂×D₄²	C₂²⋊C₄	1	16	yes	—
298	C₂×D₄²	C₂²⋊C₄	1	16	yes	—
299	C₂×D₄²	C₂²⋊C₄	1	16	yes	—
300	C₂×D₄²	C₂²⋊C₄	1	16	yes	—
301	C₂×D₄²	C₂²×C₄	1	8	yes	—
302	C₂×D₄²	C₂²×C₄	1	16	yes	—
303	C₂×D₄²	C₂²×C₄	1	8	yes	—
304	C₂×D₄²	C₂²×C₄	1	16	yes	—
305	C₂×D₄²	C₂×D₄	1	8	yes	—
306	C₂×D₄²	C₂×D₄	1	16	yes	—
307	C₂×D₄²	C₂×D₄	1	8	yes	—
308	C₂×D₄²	C₂×D₄	1	16	yes	—
309	C₂×D₄²	C₂×D₄	1	8	yes	—
310	C₂×D₄²	C₂×D₄	1	8	yes	—
311	C₂×D₄²	C₂⁴	1	8	yes	—
312	C₂×D₄²	C₂⁴	1	8	yes	—
313	C₂×#535	C₂²⋊C₄	1	16	yes	—
314	C₂×#535	C₂²⋊C₄	1	16	yes	—
315	C₂×#535	C₂²⋊C₄	1	16	yes	—
316	C₂×#535	C₂²×C₄	1	4	yes	—
317	C₂×#535	C₂²×C₄	1	16	yes	—
318	C₂×#535	C₂²×C₄	1	16	yes	complemented
319	C₂×#535	C₂×D₄	1	8	yes	—
320	C₂×#535	C₂×D₄	1	16	yes	—
321	C₂×#535	C₂×D₄	1	16	yes	—
322	C₂×#535	#41	1	8	yes	—
323	C₂×#535	C₂⁴	1	4	yes	—
324	C₂×#534	C₂²×C₄	1	16	yes	—
325	C₂×#534	C₂²×C₄	1	32	yes	complemented
326	C₂×#534	C₂⁴	1	16	yes	—
327	C₂×#532	C₂²⋊C₄	1	8	yes	—
328	C₂×#532	C₂²⋊C₄	1	8	yes	—
329	C₂×#532	C₂²⋊C₄	1	8	yes	—
330	C₂×#532	C₂²×C₄	1	8	yes	—
331	C₂×#532	C₂×D₄	1	8	yes	—
332	C₂×#532	C₂×D₄	1	8	yes	—
333	C₂²×C₄⋊Q₈	C₂²⋊C₄	1	1	yes	characteristic
334	C₂²×#127	C₂²⋊C₄	1	2	yes	—
335	C₂²×#127	C₂²⋊C₄	1	8	yes	—
336	C₂²×#127	C₂²⋊C₄	1	8	yes	—
337	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic
338	C₂²×#127	C₂²⋊C₄	1	2	yes	—
339	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic
340	C₂²×#127	C₂²⋊C₄	1	2	yes	—
341	C₂²×#127	C₂²⋊C₄	1	2	yes	—
342	C₂²×#127	C₂²⋊C₄	1	2	yes	—
343	C₂²×#127	C₂²⋊C₄	1	2	yes	—
344	C₂²×#127	C₂²⋊C₄	1	8	yes	—
345	C₂²×#127	C₂²⋊C₄	1	2	yes	—
346	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic
347	C₂²×#127	C₂²×C₄	1	8	yes	—
348	C₂²×#127	C₂×D₄	1	8	yes	—
349	C₂²×#127	C₂×D₄	1	8	yes	—
350	C₂²×#127	C₂×D₄	1	2	yes	—
351	C₂²×#127	C₂×D₄	1	2	yes	—
352	C₂²×#124	C₂²⋊C₄	1	2	yes	—
353	C₂²×#124	C₂²⋊C₄	1	2	yes	—
354	C₂²×#124	C₂²⋊C₄	1	2	yes	—
355	C₂×#525	C₂²×C₄	1	8	yes	—
356	C₂×#525	C₂²×C₄	1	16	yes	complemented
357	C₂×#525	C₂²×C₄	1	16	yes	complemented
358	C₂×#525	C₂⁴	1	8	yes	—
359	C₂²×#123	C₂²×C₄	1	2	yes	—
360	C₂²×#123	C₂²×C₄	1	4	yes	—
361	C₂²×#123	C₂²×C₄	1	4	yes	—
362	C₂²×#123	C₂⁴	1	2	yes	—
363	C₂²×#121	C₂²⋊C₄	1	2	yes	—
364	C₂²×#121	C₂²⋊C₄	1	2	yes	—
365	C₂²×#121	C₂²⋊C₄	1	4	yes	—
366	C₂²×#121	C₂²⋊C₄	1	4	yes	—
367	C₂²×#121	C₂²⋊C₄	1	4	yes	—
368	C₂²×#121	C₂²⋊C₄	1	4	yes	—
369	C₂²×#121	C₂²×C₄	1	2	yes	—
370	C₂²×#121	C₂²×C₄	1	2	yes	—
371	C₂²×#121	C₂²×C₄	1	16	yes	complemented
372	C₂²×#121	C₂²×C₄	1	16	yes	complemented
373	C₂²×#121	C₂×D₄	1	2	yes	—
374	C₂²×#121	C₂×D₄	1	2	yes	—
375	C₂²×#121	C₂×D₄	1	4	yes	—
376	C₂²×#121	C₂×D₄	1	4	yes	—
377	C₂²×#120	C₂²⋊C₄	1	4	yes	—
378	C₂²×#120	C₂²⋊C₄	1	4	yes	—
379	C₂²×#120	C₂²×C₄	1	2	yes	—
380	C₂²×#120	C₂²×C₄	1	4	yes	—
381	C₂²×#120	C₂²×C₄	1	4	yes	—
382	C₂²×#120	C₂²×C₄	1	4	yes	—
383	C₂²×#120	C₂²×C₄	1	16	yes	—
384	C₂²×#120	C₂²×C₄	1	2	yes	—
385	C₂²×#120	C₂²×C₄	1	4	yes	—
386	C₂²×#120	C₂²×C₄	1	4	yes	—
387	C₂²×#120	C₂²×C₄	1	4	yes	—
388	C₂²×#120	C₂²×C₄	1	32	yes	complemented
389	C₂²×#120	C₂²×C₄	1	32	yes	complemented
390	C₂²×#120	C₂×D₄	1	4	yes	—
391	C₂²×#120	C₂×D₄	1	4	yes	—
392	C₂²×#120	C₂⁴	1	2	yes	—
393	C₂²×#120	C₂⁴	1	16	yes	—
394	C₂²×#120	C₂⁴	1	2	yes	—
395	C₂×#518	C₂²×C₄	1	16	yes	complemented
396	C₂×C₄×#41	C₂²×C₄	1	4	yes	—
397	C₂×C₄×#41	C₂×D₄	1	4	yes	—
398	C₂×C₄×#41	C₂×D₄	1	4	yes	—
399	C₂×C₄×#41	C₂⁴	1	4	yes	—
400	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×D₄	C₂²⋊C₄	1	2	yes	—
403	C₂²×C₄×D₄	C₂²⋊C₄	1	2	yes	—
404	C₂²×C₄×D₄	C₂²⋊C₄	1	2	yes	—
405	C₂²×C₄×D₄	C₂²⋊C₄	1	2	yes	—
406	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
407	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
408	C₂²×C₄×D₄	C₂²×C₄	1	8	yes	complemented
409	C₂²×C₄×D₄	C₂²×C₄	1	8	yes	complemented
410	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
411	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
412	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
413	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
414	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
416	C₂²×#117	C₂²×C₄	1	2	yes	—
417	C₂²×#117	C₂²×C₄	1	1	yes	characteristic
418	C₂²×#117	C₂²×C₄	1	1	yes	characteristic
419	C₂²×#117	C₂²×C₄	1	1	yes	characteristic
420	C₂²×#117	C₂×D₄	1	1	yes	characteristic
421	C₂²×#117	C₂×D₄	1	1	yes	characteristic
422	C₂³×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
423	C₂³×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
424	C₂³×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
425	C₂³×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
426	C₂³×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
427	C₂³×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
428	C₂³×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
429	C₂³×C₄²	C₂²×C₄	1	1	yes	characteristic
430	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
431	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
432	C₂×#413	C₂×D₄	1	8	yes	complemented
433	C₂×#413	C₂⁴	1	4	yes	—
434	C₂×#413	C₂⁴	1	8	yes	—
435	C₂×#413	C₂⁴	1	4	yes	—
436	C₂²×#100	C₂⁴	1	2	yes	—
437	C₂²×#100	C₂⁴	1	4	yes	—
438	C₂²×#100	C₂⁴	1	32	yes	—
439	C₂²×#100	C₂⁴	1	2	yes	—
440	C₂×#410	C₂×D₄	1	8	yes	complemented
441	C₂×#410	C₂⁴	1	4	yes	—
442	C₂×#410	C₂⁴	1	8	yes	—
443	C₂×#410	C₂⁴	1	4	yes	—
444	C₂²×#99	C₂⁴	1	2	yes	—
445	C₂²×#99	C₂⁴	1	4	yes	—
446	C₂²×#99	C₂⁴	1	32	yes	—
447	C₂²×#99	C₂⁴	1	2	yes	—
448	#2847	C₂²×C₄	1	16	yes	complemented
449	#2847	C₂²×C₄	1	16	yes	complemented
450	#2846	C₂²×C₄	1	32	yes	complemented
451	#2846	C₂²×C₄	1	32	yes	complemented
452	#2617	C₂²×C₄	1	32	yes	complemented
453	#2613	C₂²×C₄	1	32	yes	complemented
454	#2613	C₂²×C₄	1	32	yes	complemented
455	#2539	C₂²×C₄	1	32	yes	complemented
456	#2534	C₂²×C₄	1	8	yes	—
457	#2534	C₂²×C₄	1	16	yes	complemented
458	#2534	C₂⁴	1	8	yes	—
459	#2501	C₂²×C₄	1	16	yes	complemented
460	#2486	C₂²×C₄	1	4	yes	—
461	#2486	C₂²×C₄	1	8	yes	complemented
462	#2486	C₂⁴	1	4	yes	—
463	#2433	C₂²×C₄	1	16	yes	complemented
464	#2412	C₂²×C₄	1	32	yes	complemented
465	#2412	C₂²×C₄	1	32	yes	complemented
466	#2410	C₂²×C₄	1	32	yes	complemented
467	#2410	C₂²×C₄	1	32	yes	complemented
468	#2408	C₂²×C₄	1	4	yes	—
469	#2408	C₂²×C₄	1	8	yes	complemented
470	#2408	C₂⁴	1	4	yes	—
471	#2405	C₂²×C₄	1	16	yes	—
472	#2405	C₂²×C₄	1	32	yes	complemented
473	#2405	C₂⁴	1	16	yes	—
474	#2403	C₂²×C₄	1	16	yes	—
475	#2403	C₂²×C₄	1	32	yes	complemented
476	#2403	C₂⁴	1	16	yes	—
477	D₄×C₂²⋊C₄	C₂²×C₄	1	32	yes	complemented
478	D₄×C₂²⋊C₄	C₂²×C₄	1	16	yes	complemented
479	D₄×C₂²⋊C₄	C₂²×C₄	1	16	yes	complemented
480	#2321	C₂²×C₄	1	8	yes	—
481	#2321	C₂²×C₄	1	16	yes	complemented
482	#2321	C₂⁴	1	8	yes	—
483	#2317	C₂²×C₄	1	8	yes	complemented
484	#2311	C₂²×C₄	1	4	yes	—
485	#2311	C₂²×C₄	1	16	yes	complemented
486	#2311	C₂⁴	1	4	yes	—
487	#2309	C₂²×C₄	1	8	yes	complemented
488	#2309	C₂²×C₄	1	16	yes	complemented
489	C₄×#120	C₂²×C₄	1	8	yes	—
490	C₄×#120	C₂²×C₄	1	16	yes	complemented
491	C₄×#120	C₂⁴	1	8	yes	—
492	C₂×#386	C₂²×C₄	1	4	yes	—
493	C₂×#386	C₂²×C₄	1	4	yes	—
494	C₂×#386	C₂²×C₄	1	2	yes	—
495	C₂×#386	C₂⁴	1	2	yes	—
496	C₂×#385	C₂²×C₄	1	2	yes	—
497	C₂×#385	C₂²×C₄	1	2	yes	—
498	#2285	C₂²×C₄	1	8	yes	complemented
499	#2280	C₂²×C₄	1	16	yes	complemented
500	C₂×#381	C₂²×C₄	1	2	yes	—
501	C₂×#381	C₂²×C₄	1	2	yes	—
502	C₂×#380	C₂²×C₄	1	2	yes	—
503	C₂×#380	C₂²×C₄	1	1	yes	characteristic
504	C₂×#380	C₂²×C₄	1	1	yes	characteristic
505	C₂×#379	C₂²×C₄	1	2	yes	—
506	C₂×#379	C₂²×C₄	1	2	yes	—
507	C₂×#379	C₂²×C₄	1	2	yes	—
508	C₂×#379	C₂²×C₄	1	2	yes	—
509	C₂×#379	C₂²×C₄	1	4	yes	—
510	C₂×#379	C₂²×C₄	1	4	yes	—
511	C₄×#117	C₂²×C₄	1	8	yes	complemented
512	C₂×C₄×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
513	C₂×C₄×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
514	#2122	C₂×D₄	1	64	yes	complemented
515	C₂×#352	C₂⁴	1	16	yes	—
516	C₂×#352	C₂⁴	1	16	yes	—
517	C₂×#352	C₂⁴	1	16	yes	—
518	C₂×#352	C₂⁴	1	16	yes	—
519	C₂×AΣL(1,𝔽₁₆)	C₂×D₄	1	32	yes	complemented
520	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
521	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
522	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	32	yes	—
523	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
524	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
525	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
526	C₂×AΣL(1,𝔽₁₆)	C₂⁴	1	16	yes	—
527	#1800	C₂⁴	1	8	yes	—
528	#1800	C₂⁴	1	8	yes	—
529	#1799	C₂⁴	1	8	yes	—
530	#1799	C₂⁴	1	8	yes	—
531	#1783	C₂⁴	1	32	yes	—
532	#1781	C₂⁴	1	32	yes	—
533	C₄×#100	C₂⁴	1	8	yes	—
534	C₄×#100	C₂⁴	1	8	yes	—
535	C₄×#99	C₂⁴	1	8	yes	—
536	C₄×#99	C₂⁴	1	8	yes	—
537	#1390	C₂⁴	1	16	yes	—
538	#1390	C₂⁴	1	32	yes	—
539	#1390	C₂⁴	1	16	yes	—
540	C₂⁶	C₂×C₂²⋊C₄	1	4	yes	—
541	C₂⁶	C₂³×C₄	1	4	yes	—
542	C₂⁶	C₂³×C₄	1	2	yes	—
543	C₂⁶	C₂³×C₄	1	2	yes	—
544	C₂⁶	C₂³×C₄	1	16	yes	—
545	C₂⁶	C₂²×D₄	1	4	yes	—
546	C₂²×#41	C₂×C₂²⋊C₄	1	8	yes	—
547	C₂²×#41	C₂×C₂²⋊C₄	1	8	yes	—
548	C₂²×#41	C₂×C₂²⋊C₄	1	8	yes	—
549	C₂²×#41	C₂×C₂²⋊C₄	1	16	yes	—
550	C₂²×#41	C₂³×C₄	1	8	yes	—
551	C₂²×#41	C₂³×C₄	1	2	yes	—
552	C₂²×#41	C₂²×D₄	1	16	yes	—
553	C₂²×#41	C₂²×D₄	1	2	yes	—
554	C₂²×#41	C₂²×D₄	1	8	yes	—
555	C₂²×#41	C₂²×D₄	1	2	yes	—
556	C₂²×#41	C₂²×D₄	1	4	yes	—
557	C₂²×#41	C₂²×D₄	1	8	yes	—
558	C₂²×#41	C₂×#41	1	4	yes	—
559	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
560	C₂²×#41	H(5,𝔽₂)	1	4	yes	—
561	C₂²×#41	C₂⁵	1	2	yes	—
562	C₂³×Q₈	C₂×C₂²⋊C₄	1	2	yes	—
563	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
564	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
565	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
566	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
567	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
568	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
569	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
570	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
571	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
572	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
573	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
574	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
575	C₂³×D₄	C₂×C₂²⋊C₄	1	16	yes	—
576	C₂³×D₄	C₂×C₂²⋊C₄	1	16	yes	—
577	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
578	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
579	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
580	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
581	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
582	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
583	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
584	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
585	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
586	C₂³×D₄	C₂×C₂²⋊C₄	1	8	yes	—
587	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
588	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
589	C₂³×D₄	C₂×C₂²⋊C₄	1	4	yes	—
590	C₂³×D₄	C₂×C₂²⋊C₄	1	16	yes	—
591	C₂³×D₄	C₂×C₂²⋊C₄	1	16	yes	—
592	C₂³×D₄	C₂×C₂²⋊C₄	1	2	yes	—
593	C₂³×D₄	C₄×D₄	1	8	yes	complemented
594	C₂³×D₄	C₂³×C₄	1	4	yes	—
595	C₂³×D₄	C₂³×C₄	1	16	yes	—
596	C₂³×D₄	C₂³×C₄	1	8	yes	—
597	C₂³×D₄	C₂³×C₄	1	1	yes	characteristic
598	C₂³×D₄	C₂³×C₄	1	8	yes	—
599	C₂³×D₄	C₂³×C₄	1	4	yes	—
600	C₂³×D₄	C₂³×C₄	1	16	yes	—
601	C₂³×D₄	C₂³×C₄	1	8	yes	—
602	C₂³×D₄	C₂³×C₄	1	8	yes	—
603	C₂³×D₄	C₂³×C₄	1	4	yes	—
604	C₂³×D₄	C₂³×C₄	1	16	yes	—
605	C₂³×D₄	C₂²×D₄	1	4	yes	—
606	C₂³×D₄	C₂²×D₄	1	16	yes	—
607	C₂³×D₄	C₂²×D₄	1	8	yes	—
608	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
609	C₂³×D₄	C₂²×D₄	1	8	yes	—
610	C₂³×D₄	C₂²×D₄	1	4	yes	—
611	C₂³×D₄	C₂²×D₄	1	8	yes	—
612	C₂³×D₄	C₂²×D₄	1	8	yes	—
613	C₂³×D₄	C₂²×D₄	1	8	yes	—
614	C₂³×D₄	C₂²×D₄	1	8	yes	—
615	C₂³×D₄	C₂⁵	1	8	yes	—
616	C₂³×D₄	C₂⁵	1	1	yes	characteristic
617	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
618	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
619	C₂⁴×C₄	C₂×C₂²⋊C₄	1	4	yes	—
620	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
621	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
622	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
623	C₂⁴×C₄	C₂³×C₄	1	8	yes	—
624	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
625	C₂⁴×C₄	C₂³×C₄	1	1	yes	characteristic
626	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
627	C₂⁴×C₄	C₂³×C₄	1	8	yes	—
628	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
629	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
630	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
631	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
632	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
633	#535	C₄×D₄	1	32	yes	complemented
634	#535	C₂²×D₄	1	16	yes	—
635	#535	C₂×#41	1	16	yes	—
636	C₂×C₄⋊Q₈	C₂×C₂²⋊C₄	1	8	yes	—
637	C₂×#127	#99	1	2	yes	—
638	C₂×#127	#99	1	2	yes	—
639	C₂×#127	#99	1	2	yes	—
640	C₂×#127	#99	1	2	yes	—
641	C₂×#127	#99	1	8	yes	—
642	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
643	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
644	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
645	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
646	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
647	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
648	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
649	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
650	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
651	C₂×#127	C₂×C₂²⋊C₄	1	16	yes	—
652	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
653	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
654	C₂×#127	C₂²×D₄	1	8	yes	—
655	C₂×#127	C₂²×D₄	1	8	yes	—
656	C₂×#124	C₂×C₂²⋊C₄	1	16	yes	—
657	C₂×#124	C₂×C₂²⋊C₄	1	16	yes	—
658	C₂×#124	C₂×C₂²⋊C₄	1	16	yes	—
659	C₂×#123	C₂³×C₄	1	4	yes	—
660	C₂×#123	C₂³×C₄	1	8	yes	—
661	C₂×#123	C₂³×C₄	1	16	yes	—
662	C₂×#123	C₂³×C₄	1	16	yes	—
663	C₂×#123	C₂⁵	1	4	yes	—
664	C₂×#121	C₂×C₂²⋊C₄	1	16	yes	—
665	C₂×#121	C₂×C₂²⋊C₄	1	16	yes	—
666	C₂×#121	C₂×C₂²⋊C₄	1	8	yes	—
667	C₂×#121	C₂×C₂²⋊C₄	1	8	yes	—
668	C₂×#121	C₂×C₂²⋊C₄	1	32	yes	—
669	C₂×#121	C₂×C₂²⋊C₄	1	32	yes	—
670	C₂×#121	C₂×C₂²⋊C₄	1	8	yes	—
671	C₂×#121	C₂×C₂²⋊C₄	1	32	yes	—
672	C₂×#121	C₂×C₂²⋊C₄	1	32	yes	—
673	C₂×#121	C₂×C₂²⋊C₄	1	16	yes	—
674	C₂×#121	C₂×C₂²⋊C₄	1	8	yes	—
675	C₂×#121	C₂×C₂²⋊C₄	1	16	yes	—
676	C₂×#121	C₂³×C₄	1	8	yes	—
677	C₂×#121	C₂³×C₄	1	8	yes	—
678	C₂×#121	C₂²×D₄	1	8	yes	—
679	C₂×#121	C₂²×D₄	1	8	yes	—
680	C₂×#121	C₂²×D₄	1	16	yes	—
681	C₂×#121	C₂²×D₄	1	16	yes	—
682	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
683	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
684	C₂×#120	C₂×C₂²⋊C₄	1	32	yes	—
685	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
686	C₂×#120	C₂×C₂²⋊C₄	1	32	yes	—
687	C₂×#120	C₂×C₂²⋊C₄	1	16	yes	—
688	C₂×#120	C₄×D₄	1	16	yes	complemented
689	C₂×#120	C₂³×C₄	1	4	yes	—
690	C₂×#120	C₂³×C₄	1	8	yes	—
691	C₂×#120	C₂³×C₄	1	16	yes	—
692	C₂×#120	C₂³×C₄	1	16	yes	—
693	C₂×#120	C₂³×C₄	1	16	yes	—
694	C₂×#120	C₂³×C₄	1	4	yes	—
695	C₂×#120	C₂³×C₄	1	8	yes	—
696	C₂×#120	C₂³×C₄	1	16	yes	—
697	C₂×#120	C₂³×C₄	1	16	yes	—
698	C₂×#120	C₂³×C₄	1	16	yes	—
699	C₂×#120	C₂²×D₄	1	8	yes	—
700	C₂×#120	C₂²×D₄	1	16	yes	—
701	C₂×#120	C₂²×D₄	1	16	yes	—
702	C₂×#120	C₂×#41	1	8	yes	—
703	C₂×#120	C₂⁵	1	4	yes	—
704	C₂×#120	C₂⁵	1	4	yes	—
705	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	4	yes	—
706	C₂×C₄×Q₈	C₂×C₂²⋊C₄	1	4	yes	—
707	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
708	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
709	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	8	yes	—
710	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	8	yes	—
711	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	16	yes	—
712	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
713	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
714	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
715	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	16	yes	—
716	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	16	yes	—
717	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	16	yes	—
718	C₂×C₄×D₄	C₂×C₂²⋊C₄	1	4	yes	—
719	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
720	C₂×C₄×D₄	C₂³×C₄	1	4	yes	—
721	C₂×C₄×D₄	C₂³×C₄	1	4	yes	—
722	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
723	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
724	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
725	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
726	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
727	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
728	C₂×C₄×D₄	C₂²×D₄	1	8	yes	—
729	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
730	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
731	C₂×C₄×D₄	C₂⁵	1	2	yes	—
732	C₂×C₄×D₄	C₂⁵	1	2	yes	—
733	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
734	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
735	C₂×#117	C₂×C₂²⋊C₄	1	4	yes	—
736	C₂×#117	C₄×D₄	1	8	yes	complemented
737	C₂×#117	C₂³×C₄	1	8	yes	—
738	C₂×#117	C₂³×C₄	1	4	yes	—
739	C₂×#117	C₂³×C₄	1	4	yes	—
740	C₂×#117	C₂³×C₄	1	4	yes	—
741	C₂×#117	C₂²×D₄	1	4	yes	—
742	C₂×#117	C₂²×D₄	1	4	yes	—
743	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
744	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	2	yes	—
745	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
746	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
747	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
748	C₂²×C₄⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
749	C₂²×C₄⋊C₄	C₂³×C₄	1	4	yes	—
750	C₂²×C₄⋊C₄	C₂³×C₄	1	4	yes	—
751	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
752	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
753	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
754	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
755	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
756	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
757	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
758	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
759	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
760	C₂²×C₂²⋊C₄	C₂×C₂²⋊C₄	1	4	yes	—
761	C₂²×C₂²⋊C₄	C₂³×C₄	1	2	yes	—
762	C₂²×C₂²⋊C₄	C₂³×C₄	1	2	yes	—
763	C₂²×C₂²⋊C₄	C₂³×C₄	1	16	yes	—
764	C₂²×C₂²⋊C₄	C₂³×C₄	1	16	yes	—
765	C₂²×C₂²⋊C₄	C₂³×C₄	1	2	yes	—
766	C₂²×C₂²⋊C₄	C₂³×C₄	1	8	yes	—
767	C₂²×C₂²⋊C₄	C₂³×C₄	1	8	yes	—
768	C₂²×C₂²⋊C₄	C₂³×C₄	1	16	yes	—
769	C₂²×C₂²⋊C₄	C₂³×C₄	1	2	yes	—
770	C₂²×C₂²⋊C₄	C₂³×C₄	1	1	yes	characteristic
771	C₂²×C₂²⋊C₄	C₂³×C₄	1	1	yes	characteristic
772	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
773	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
774	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
775	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
776	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
777	C₂²×C₄²	C₂×C₂²⋊C₄	1	4	yes	—
778	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
779	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
780	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
781	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
782	C₂²×C₄²	C₂×C₂²⋊C₄	1	4	yes	—
783	C₂²×C₄²	C₂×C₂²⋊C₄	1	4	yes	—
784	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
785	C₂²×C₄²	C₂³×C₄	1	4	yes	—
786	C₂²×C₄²	C₂²×D₄	1	4	yes	—
787	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
788	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
789	C₂²×C₄²	C₂²×D₄	1	4	yes	—
790	#413	C₂²×D₄	1	16	yes	complemented
791	C₂×#100	C₂²×D₄	1	8	yes	—
792	C₂×#100	C₂⁵	1	8	yes	—
793	C₂×#100	C₂⁵	1	4	yes	—
794	C₂×#100	C₂⁵	1	4	yes	—
795	#410	C₂²×D₄	1	16	yes	complemented
796	C₂×#99	C₂²×D₄	1	8	yes	—
797	C₂×#99	C₂⁵	1	8	yes	—
798	C₂×#99	C₂⁵	1	4	yes	—
799	C₂×#99	C₂⁵	1	4	yes	—
800	#386	C₂³×C₄	1	4	yes	—
801	#386	C₂³×C₄	1	8	yes	—
802	#386	C₂³×C₄	1	16	yes	—
803	#386	C₂³×C₄	1	16	yes	—
804	#386	C₂⁵	1	4	yes	—
805	#385	C₂³×C₄	1	8	yes	—
806	#385	C₂³×C₄	1	8	yes	—
807	#381	C₂³×C₄	1	8	yes	—
808	#381	C₂³×C₄	1	8	yes	—
809	#380	C₂³×C₄	1	4	yes	—
810	#380	C₂³×C₄	1	4	yes	—
811	#380	C₂³×C₄	1	8	yes	—
812	#379	C₂³×C₄	1	8	yes	—
813	#379	C₂³×C₄	1	8	yes	—
814	#379	C₂³×C₄	1	16	yes	—
815	#379	C₂³×C₄	1	16	yes	—
816	#379	C₂³×C₄	1	8	yes	—
817	#379	C₂³×C₄	1	8	yes	—
818	C₄×C₂²⋊C₄	C₂³×C₄	1	8	yes	—
819	C₄×C₂²⋊C₄	C₂³×C₄	1	8	yes	—
820	AΣL(1,𝔽₁₆)	C₂²×D₄	1	64	yes	complemented
821	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
822	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
823	C₂⁵	C₂²×C₂²⋊C₄	1	1	yes	characteristic
824	C₂⁵	C₂²×C₂²⋊C₄	1	4	yes	—
825	C₂⁵	C₂²×C₂²⋊C₄	1	8	yes	—
826	C₂⁵	C₂²×C₂²⋊C₄	1	8	yes	—
827	C₂⁵	C₂²×C₂²⋊C₄	1	16	yes	—
828	C₂⁵	C₂×C₄×D₄	1	8	yes	—
829	C₂⁵	C₂⁴×C₄	1	1	yes	characteristic
830	C₂⁵	C₂⁴×C₄	1	8	yes	—
831	C₂⁵	C₂⁴×C₄	1	4	yes	—
832	C₂⁵	C₂⁴×C₄	1	4	yes	—
833	C₂⁵	C₂³×D₄	1	1	yes	characteristic
834	C₂⁵	C₂³×D₄	1	8	yes	—
835	C₂×#41	C₂×C₄×D₄	1	8	yes	—
836	C₂×#41	#518	1	8	yes	—
837	C₂×#41	D₄²	1	8	yes	—
838	C₂×#41	D₄²	1	8	yes	—
839	C₂×#41	#546	1	8	yes	—
840	C₂×#41	#546	1	8	yes	—
841	C₂×#41	C₂³×D₄	1	4	yes	—
842	C₂×#41	C₂²×#41	1	4	yes	—
843	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
844	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
845	C₂²×Q₈	C₂²×C₂²⋊C₄	1	8	yes	—
846	C₂²×Q₈	C₂²×C₂²⋊C₄	1	2	yes	—
847	C₂²×Q₈	D₄²	1	4	yes	—
848	C₂²×Q₈	#546	1	4	yes	—
849	C₂²×Q₈	C₂³×D₄	1	2	yes	—
850	C₂²×D₄	C₂×#99	1	4	yes	—
851	C₂²×D₄	C₂×#99	1	8	yes	—
852	C₂²×D₄	C₂×#99	1	4	yes	—
853	C₂²×D₄	C₂×#99	1	4	yes	—
854	C₂²×D₄	C₂×#99	1	4	yes	—
855	C₂²×D₄	C₂×#99	1	4	yes	—
856	C₂²×D₄	C₂×#99	1	8	yes	—
857	C₂²×D₄	C₂×#99	1	4	yes	—
858	C₂²×D₄	C₂×#99	1	8	yes	—
859	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
860	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
861	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
862	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
863	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
864	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
865	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
866	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
867	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
868	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
869	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
870	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
871	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
872	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
873	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
874	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
875	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
876	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
877	C₂²×D₄	C₂²×C₂²⋊C₄	1	2	yes	—
878	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
879	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
880	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
881	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
882	C₂²×D₄	C₂×C₄×D₄	1	4	yes	—
883	C₂²×D₄	C₂×C₄×D₄	1	16	yes	complemented
884	C₂²×D₄	#518	1	4	yes	—
885	C₂²×D₄	D₄²	1	4	yes	—
886	C₂²×D₄	#546	1	4	yes	—
887	C₂²×D₄	C₂⁴×C₄	1	8	yes	—
888	C₂²×D₄	C₂⁴×C₄	1	2	yes	—
889	C₂²×D₄	C₂⁴×C₄	1	1	yes	characteristic
890	C₂²×D₄	C₂³×D₄	1	8	yes	—
891	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
892	C₂²×D₄	C₂³×D₄	1	8	yes	—
893	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
894	C₂²×D₄	C₂³×D₄	1	2	yes	—
895	C₂²×D₄	C₂³×D₄	1	2	yes	—
896	C₂²×D₄	C₂²×#41	1	2	yes	—
897	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
898	C₂²×D₄	C₂×H(5,𝔽₂)	1	2	yes	—
899	C₂²×D₄	C₂⁶	1	1	yes	characteristic
900	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
901	C₂³×C₄	C₂²×C₂²⋊C₄	1	8	yes	—
902	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
903	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
904	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
905	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
906	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
907	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
908	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
909	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
910	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
911	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
912	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
913	C₂³×C₄	C₂²×C₂²⋊C₄	1	16	yes	—
914	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
915	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
916	C₂³×C₄	C₂²×C₂²⋊C₄	1	16	yes	—
917	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
918	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
919	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
920	C₂³×C₄	C₂²×C₂²⋊C₄	1	4	yes	—
921	C₂³×C₄	C₂²×C₂²⋊C₄	1	2	yes	—
922	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
923	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
924	C₂³×C₄	C₂×C₄×D₄	1	4	yes	—
925	C₂³×C₄	#518	1	4	yes	—
926	C₂³×C₄	D₄²	1	4	yes	—
927	C₂³×C₄	D₄²	1	4	yes	—
928	C₂³×C₄	#546	1	4	yes	—
929	C₂³×C₄	#546	1	4	yes	—
930	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
931	C₂³×C₄	C₂⁴×C₄	1	4	yes	—
932	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
933	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
934	C₂³×C₄	C₂⁴×C₄	1	4	yes	—
935	C₂³×C₄	C₂³×D₄	1	8	yes	—
936	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
937	C₂³×C₄	C₂³×D₄	1	2	yes	—
938	C₂³×C₄	C₂³×D₄	1	2	yes	—
939	C₂³×C₄	C₂³×D₄	1	2	yes	—
940	C₂³×C₄	C₂³×D₄	1	2	yes	—
941	#127	C₂×#99	1	16	yes	—
942	#127	C₂×#99	1	16	yes	—
943	#127	C₂×#99	1	16	yes	—
944	#127	C₂×#99	1	16	yes	—
945	#120	C₂×C₄×D₄	1	16	yes	—
946	#120	C₂×C₄×D₄	1	32	yes	complemented
947	#120	C₂³×D₄	1	8	yes	—
948	#120	C₂²×#41	1	8	yes	—
949	#117	C₂×C₄×D₄	1	16	yes	complemented
950	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	8	yes	—
951	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	8	yes	—
952	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
953	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
954	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
955	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
956	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
957	C₂×C₄⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
958	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
959	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
960	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	16	yes	—
961	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	16	yes	—
962	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
963	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	4	yes	—
964	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	16	yes	—
965	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	16	yes	—
966	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	16	yes	—
967	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	16	yes	—
968	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
969	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
970	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
971	C₂×C₂²⋊C₄	C₂²×C₂²⋊C₄	1	2	yes	—
972	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	8	yes	—
973	C₂×C₂²⋊C₄	C₂⁴×C₄	1	4	yes	—
974	C₂×C₂²⋊C₄	C₂⁴×C₄	1	4	yes	—
975	C₂×C₂²⋊C₄	C₂⁴×C₄	1	4	yes	—
976	C₂×C₂²⋊C₄	C₂⁴×C₄	1	4	yes	—
977	C₂×C₂²⋊C₄	C₂⁴×C₄	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂⁴×C₄	1	2	yes	—
979	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
980	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
981	C₂×C₄²	C₂×#99	1	4	yes	—
982	C₂×C₄²	C₂×#99	1	1	yes	characteristic
983	C₂×C₄²	C₂×#99	1	1	yes	characteristic
984	C₂×C₄²	C₂×#99	1	1	yes	characteristic
985	C₂×C₄²	C₂×#99	1	1	yes	characteristic
986	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
987	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
988	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
989	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
990	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
991	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
992	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
993	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
994	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
995	C₂×C₄²	C₂²×C₂²⋊C₄	1	4	yes	—
996	C₂×C₄²	C₂³×D₄	1	2	yes	—
997	C₂×C₄²	C₂³×D₄	1	2	yes	—
998	#100	C₂³×D₄	1	8	yes	—
999	#99	C₂³×D₄	1	8	yes	—
1000	C₂⁴	D₄×C₂²⋊C₄	1	4	yes	—
1001	C₂⁴	C₂²×#99	1	8	yes	—
1002	C₂⁴	C₂²×#99	1	8	yes	—
1003	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1004	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
1005	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
1006	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1007	C₂⁴	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1008	C₂⁴	C₂³×C₂²⋊C₄	1	2	yes	—
1009	C₂⁴	C₂³×C₂²⋊C₄	1	8	yes	—
1010	C₂⁴	C₂²×C₄×D₄	1	2	yes	—
1011	C₂⁴	C₂²×C₄×D₄	1	8	yes	—
1012	C₂⁴	C₂×#518	1	2	yes	—
1013	C₂⁴	C₂×D₄²	1	2	yes	—
1014	C₂⁴	C₂×#546	1	2	yes	—
1015	C₂⁴	C₂⁵×C₄	1	1	yes	characteristic
1016	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1017	C₂×Q₈	D₄×C₂²⋊C₄	1	8	yes	—
1018	C₂×Q₈	C₂×D₄²	1	4	yes	—
1019	C₂×Q₈	C₂×#546	1	4	yes	—
1020	C₂×D₄	D₄×C₂²⋊C₄	1	8	yes	—
1021	C₂×D₄	D₄×C₂²⋊C₄	1	8	yes	—
1022	C₂×D₄	C₂²×#99	1	16	yes	—
1023	C₂×D₄	C₂²×#99	1	16	yes	—
1024	C₂×D₄	C₂²×#99	1	16	yes	—
1025	C₂×D₄	C₂²×#99	1	16	yes	—
1026	C₂×D₄	C₂²×#99	1	16	yes	—
1027	C₂×D₄	C₂²×#99	1	16	yes	—
1028	C₂×D₄	C₂²×C₄×D₄	1	2	yes	—
1029	C₂×D₄	C₂²×C₄×D₄	1	4	yes	—
1030	C₂×D₄	C₂×#518	1	4	yes	—
1031	C₂×D₄	C₂×#518	1	2	yes	—
1032	C₂×D₄	C₂×D₄²	1	2	yes	—
1033	C₂×D₄	C₂×D₄²	1	4	yes	—
1034	C₂×D₄	C₂×D₄²	1	2	yes	—
1035	C₂×D₄	C₂×#546	1	2	yes	—
1036	C₂×D₄	C₂×#546	1	4	yes	—
1037	C₂×D₄	C₂×#546	1	2	yes	—
1038	C₂×D₄	C₂⁴×D₄	1	1	yes	characteristic
1039	C₂×D₄	C₂³×#41	1	1	yes	characteristic
1040	C₂×D₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1041	C₂×D₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1042	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
1043	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
1044	C₂²×C₄	D₄×C₂²⋊C₄	1	8	yes	—
1045	C₂²×C₄	D₄×C₂²⋊C₄	1	8	yes	—
1046	C₂²×C₄	D₄×C₂²⋊C₄	1	8	yes	—
1047	C₂²×C₄	D₄×C₂²⋊C₄	1	4	yes	—
1048	C₂²×C₄	C₂²×#99	1	2	yes	—
1049	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
1050	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
1051	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
1052	C₂²×C₄	C₂²×#99	1	2	yes	—
1053	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
1054	C₂²×C₄	C₂²×#99	1	2	yes	—
1055	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
1056	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
1057	C₂²×C₄	#2883	1	4	yes	—
1058	C₂²×C₄	C₂³×C₂²⋊C₄	1	8	yes	—
1059	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1060	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1062	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1063	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1064	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1065	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1066	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1067	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1068	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1069	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1070	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1071	C₂²×C₄	C₂²×C₄×D₄	1	4	yes	—
1072	C₂²×C₄	C₂×#518	1	4	yes	—
1073	C₂²×C₄	C₂×D₄²	1	4	yes	—
1074	C₂²×C₄	C₂×D₄²	1	2	yes	—
1075	C₂²×C₄	C₂×D₄²	1	4	yes	—
1076	C₂²×C₄	C₂×#546	1	4	yes	—
1077	C₂²×C₄	C₂×#546	1	2	yes	—
1078	C₂²×C₄	C₂×#546	1	4	yes	—
1079	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1080	C₂²⋊C₄	C₂²×C₄×D₄	1	8	yes	—
1081	C₄²	C₂²×#99	1	4	yes	—
1082	C₄²	C₂²×#99	1	4	yes	—
1083	C₄²	C₂²×#99	1	4	yes	—
1084	C₄²	C₂²×#99	1	4	yes	—
1085	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1086	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1087	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1088	C₂³	C₂×D₄×C₂²⋊C₄	1	4	yes	—
1089	C₂³	C₂³×#99	1	16	yes	—
1090	C₂³	C₂³×#99	1	1	yes	characteristic
1091	C₂³	C₂³×#99	1	1	yes	characteristic
1092	C₂³	C₂×#2883	1	2	yes	—
1093	C₂³	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
1094	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
1095	C₂³	C₂²×#518	1	1	yes	characteristic
1096	C₂³	C₂²×D₄²	1	1	yes	characteristic
1097	C₂³	C₂²×#546	1	1	yes	characteristic
1098	C₂×C₄	D₄×#99	1	8	yes	—
1099	C₂×C₄	D₄×#99	1	4	yes	—
1100	C₂×C₄	D₄×#99	1	4	yes	—
1101	C₂×C₄	#33348	1	4	yes	complemented
1102	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	4	yes	—
1103	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	4	yes	—
1104	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1105	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	4	yes	—
1106	C₂×C₄	C₂³×#99	1	2	yes	—
1107	C₂×C₄	C₂³×#99	1	2	yes	—
1108	C₂×C₄	C₂³×#99	1	2	yes	—
1109	C₂×C₄	C₂³×#99	1	2	yes	—
1110	C₂×C₄	C₂³×#99	1	2	yes	—
1111	C₂×C₄	C₂³×#99	1	2	yes	—
1112	C₂×C₄	C₂×#2883	1	4	yes	—
1113	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1114	C₂×C₄	C₂²×#546	1	1	yes	characteristic
1115	C₂²	C₂×D₄×#99	1	2	yes	—
1116	C₂²	C₂×D₄×#99	1	2	yes	—
1117	C₂²	C₂×#33348	1	2	yes	—
1118	C₂²	#7622451	1	2	yes	—
1119	C₂²	C₂²×D₄×C₂²⋊C₄	1	1	yes	characteristic
1120	C₂²	C₂⁴×#99	1	1	yes	characteristic
1121	C₂²	C₂²×#2883	1	1	yes	characteristic
1122	C₄	C₂×D₄×#99	1	4	yes	—
1123	C₄	C₂×D₄×#99	1	4	yes	—
1124	C₄	C₂×#33348	1	4	yes	complemented
1125	C₂	C₂²×#33348	1	1	yes	characteristic
1126	C₂	C₂×#7622451	1	1	yes	characteristic
1127	C₂	C₂²×D₄×#99	1	1	yes	characteristic
1128	C₂	#72286159	1	4	yes	direct product factor

	subgroup	G/H
center, socle	C₂³	C₂³×#99
commutator	C₂⁴	C₂⁵×C₄
Frattini, cosocle	C₂²×D₄	C₂⁶
prime radical	C₂×#7677118	C₂
LCS	G ▷ C₂⁴ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂²×#127 ◁ C₂²×#3498 ◁ G
LECS	G ▷ C₂²×D₄ ▷ C₂² ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#494683	C₂	semidirect
2. C₂×#493744	C₂	semidirect
3. C₂×C₄×#2122	C₂	semidirect
4. C₂×#497353	C₂	semidirect
5. C₂×#497293	C₂	semidirect
6. C₂×#494701	C₂	semidirect
7. C₂×#6379015	C₂	semidirect
8. C₂×#495148	C₂	semidirect
9. C₂×#495160	C₂	semidirect
10. C₂×#6379033	C₂	semidirect
11. C₂×D₄×AΣL(1,𝔽₁₆)	C₂	semidirect
12. #72286159	C₂	direct (N × H)
13. C₂²×#33348	C₂	semidirect
15. C₂×#493425	C₂	semidirect
18. C₂³×D₄²	C₄	semidirect
19. C₂²×#2888	C₂²	semidirect
20. C₂²×#2883	C₂²	semidirect
21. #7677118	C₄	semidirect
23. C₂×#39338	C₄	semidirect
25. C₂×#37644	C₄	semidirect
27. C₂×D₄×#120	C₄	semidirect
29. C₂×#35514	C₄	semidirect
31. C₂×#35222	C₄	semidirect
32. C₂×#35165	C₄	semidirect
33. C₂×#34936	C₄	semidirect
35. C₂×#34210	C₄	semidirect
37. C₂×#33348	C₂²	semidirect
41. C₂²×#2121	C₂²	semidirect
42. C₂²×#2120	C₂²	semidirect
43. C₂²×#2120	C₂²	semidirect
44. C₂²×#2120	C₂²	semidirect
45. C₂²×#2120	C₂²	semidirect
46. C₂³×AΣL(1,𝔽₁₆)	C₂²	semidirect
47. #6379033	C₂²	semidirect
48. C₂×D₄×#100	C₂²	semidirect
49. C₂×D₄×#100	C₂²	semidirect
50. #6379015	C₂²	semidirect
51. C₂×D₄×#99	C₂²	semidirect
52. C₂×D₄×#99	C₂²	semidirect
53. C₂×#20637	C₂²	semidirect
54. C₂×#20632	C₂²	semidirect
55. C₂×#20592	C₂²	semidirect
56. C₂×#20586	C₂²	semidirect
57. C₂×C₄×#413	C₂²	semidirect
58. C₂×C₄×#410	C₂²	semidirect
59. #497353	C₂²	semidirect
60. #497293	C₂²	semidirect
61. D₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
62. #495160	C₂²	semidirect
63. C₂×#13222	C₂²	semidirect
64. C₂×#13221	C₂²	semidirect
65. C₂×#13220	C₂²	semidirect
66. #495148	C₂²	semidirect
67. C₂×#13219	C₂²	semidirect
68. C₂×#13218	C₂²	semidirect
69. C₂×#13217	C₂²	semidirect
70. #494701	C₂²	semidirect
71. C₂×#13086	C₂²	semidirect
72. C₂×#13084	C₂²	semidirect
73. #494683	C₂²	semidirect
74. C₂×#13082	C₂²	semidirect
75. C₂×#13080	C₂²	semidirect
76. #493744	C₂²	semidirect
77. C₂×#12795	C₂²	semidirect
78. C₂×#12793	C₂²	semidirect
79. #493425	C₂²	semidirect
80. C₂×#12690	C₂²	semidirect
81. C₂×#12687	C₂²	semidirect
82. C₄×#2122	C₂²	semidirect
83. C₂×#12622	C₂²	semidirect
84. C₂×C₄×AΣL(1,𝔽₁₆)	C₂²	semidirect
85. C₂×#12575	C₂²	semidirect
86. C₂×#12575	C₂²	semidirect
87. C₂×#12575	C₂²	semidirect
89. C₂⁵×D₄	C₂×C₄	semidirect
90. C₂⁵×D₄	C₂×C₄	semidirect
95. C₂×#3484	C₂×C₄	semidirect
101. C₂²×D₄²	C₂×C₄	semidirect
107. C₂²×#535	C₂×C₄	semidirect
111. C₂²×#534	C₂×C₄	semidirect
119. C₂²×#525	C₂×C₄	semidirect
120. C₂²×#525	C₂×C₄	semidirect
122. C₂³×#121	C₂×C₄	semidirect
123. C₂³×#121	C₂×C₄	semidirect
124. C₂³×#120	C₂×C₄	semidirect
125. C₂³×#120	C₂×C₄	semidirect
127. C₂²×#518	C₂×C₄	semidirect
129. C₂³×C₄×D₄	C₂×C₄	semidirect
130. C₂³×C₄×D₄	C₂×C₄	semidirect
131. C₂×#2888	C₂³	semidirect
136. C₂×#2883	C₂³	semidirect
141. #39338	C₂×C₄	semidirect
142. #39338	C₂×C₄	semidirect
144. #37644	C₂×C₄	semidirect
145. #37644	C₂×C₄	semidirect
147. C₂×#2847	C₂×C₄	semidirect
148. C₂×#2847	C₂×C₄	semidirect
149. C₂×#2846	C₂×C₄	semidirect
150. C₂×#2846	C₂×C₄	semidirect
151. D₄×#120	C₂×C₄	semidirect
152. D₄×#120	C₂×C₄	semidirect
154. #35514	C₂×C₄	semidirect
155. #35512	C₂×C₄	semidirect
157. #35222	C₂×C₄	semidirect
158. #35165	C₂×C₄	semidirect
159. #34936	C₂×C₄	semidirect
160. #34935	C₂×C₄	semidirect
162. C₂×#2539	C₂×C₄	semidirect
163. C₂×#2534	C₂×C₄	semidirect
165. C₂×#2501	C₂×C₄	semidirect
166. C₂×#2486	C₂×C₄	semidirect
168. C₂×#2433	C₂×C₄	semidirect
169. C₂×#2408	C₂×C₄	semidirect
171. C₂×#2412	C₂×C₄	semidirect
172. C₂×#2412	C₂×C₄	semidirect
173. C₂×#2405	C₂×C₄	semidirect
175. C₂×#2410	C₂×C₄	semidirect
176. C₂×#2410	C₂×C₄	semidirect
177. C₂×#2403	C₂×C₄	semidirect
179. C₂×#2617	C₂×C₄	semidirect
180. C₂×#2613	C₂×C₄	semidirect
181. C₂×#2613	C₂×C₄	semidirect
182. #34210	C₂×C₄	semidirect
183. C₂×D₄×C₂²⋊C₄	C₂×C₄	semidirect
184. C₂×D₄×C₂²⋊C₄	C₂×C₄	semidirect
185. C₂×D₄×C₂²⋊C₄	C₂×C₄	semidirect
186. C₄×#535	C₂×C₄	semidirect
188. C₂×#2321	C₂×C₄	semidirect
190. C₂×#2317	C₂×C₄	semidirect
191. C₂×#2311	C₂×C₄	semidirect
193. C₂×#2309	C₂×C₄	semidirect
194. C₂×#2309	C₂×C₄	semidirect
195. C₂×C₄×#120	C₂×C₄	semidirect
197. C₂×#2285	C₂×C₄	semidirect
198. C₂×#2280	C₂×C₄	semidirect
199. C₂×C₄×#117	C₂×C₄	semidirect
200. C₂×#2122	D₄	semidirect
204. C₂×#2121	C₂³	semidirect
205. C₂×#2120	C₂³	semidirect
206. C₂×#2120	C₂³	semidirect
207. C₂×#2120	C₂³	semidirect
208. C₂×#2120	C₂³	semidirect
220. C₂²×AΣL(1,𝔽₁₆)	C₂³	semidirect
221. D₄×#100	C₂³	semidirect
222. D₄×#100	C₂³	semidirect
223. D₄×#99	C₂³	semidirect
224. D₄×#99	C₂³	semidirect
225. #20637	C₂³	semidirect
228. #20632	C₂³	semidirect
231. #20592	C₂³	semidirect
233. #20586	C₂³	semidirect
235. C₄×#413	C₂³	semidirect
238. C₄×#410	C₂³	semidirect
241. #13222	C₂³	semidirect
242. #13221	C₂³	semidirect
243. #13220	C₂³	semidirect
244. #13219	C₂³	semidirect
245. #13218	C₂³	semidirect
246. #13217	C₂³	semidirect
247. #13086	C₂³	semidirect
248. #13084	C₂³	semidirect
249. #13082	C₂³	semidirect
250. #13080	C₂³	semidirect
251. #12795	C₂³	semidirect
252. #12793	C₂³	semidirect
253. #12690	C₂³	semidirect
254. #12687	C₂³	semidirect
255. #12622	C₂³	semidirect
256. C₄×AΣL(1,𝔽₁₆)	C₂³	semidirect
257. #12575	C₂³	semidirect
258. #12575	C₂³	semidirect
259. #12575	C₂³	semidirect
283. C₂⁴×D₄	C₂²×C₄	semidirect
284. C₂⁴×D₄	C₂²×C₄	semidirect
318. C₂×#535	C₂²×C₄	semidirect
325. C₂×#534	C₂²×C₄	semidirect
356. C₂×#525	C₂²×C₄	semidirect
357. C₂×#525	C₂²×C₄	semidirect
371. C₂²×#121	C₂²×C₄	semidirect
372. C₂²×#121	C₂²×C₄	semidirect
388. C₂²×#120	C₂²×C₄	semidirect
389. C₂²×#120	C₂²×C₄	semidirect
395. C₂×#518	C₂²×C₄	semidirect
408. C₂²×C₄×D₄	C₂²×C₄	semidirect
409. C₂²×C₄×D₄	C₂²×C₄	semidirect
432. C₂×#413	C₂×D₄	semidirect
440. C₂×#410	C₂×D₄	semidirect
448. #2847	C₂²×C₄	semidirect
449. #2847	C₂²×C₄	semidirect
450. #2846	C₂²×C₄	semidirect
451. #2846	C₂²×C₄	semidirect
452. #2617	C₂²×C₄	semidirect
453. #2613	C₂²×C₄	semidirect
454. #2613	C₂²×C₄	semidirect
455. #2539	C₂²×C₄	semidirect
457. #2534	C₂²×C₄	semidirect
459. #2501	C₂²×C₄	semidirect
461. #2486	C₂²×C₄	semidirect
463. #2433	C₂²×C₄	semidirect
464. #2412	C₂²×C₄	semidirect
465. #2412	C₂²×C₄	semidirect
466. #2410	C₂²×C₄	semidirect
467. #2410	C₂²×C₄	semidirect
469. #2408	C₂²×C₄	semidirect
472. #2405	C₂²×C₄	semidirect
475. #2403	C₂²×C₄	semidirect
477. D₄×C₂²⋊C₄	C₂²×C₄	semidirect
478. D₄×C₂²⋊C₄	C₂²×C₄	semidirect
479. D₄×C₂²⋊C₄	C₂²×C₄	semidirect
481. #2321	C₂²×C₄	semidirect
483. #2317	C₂²×C₄	semidirect
485. #2311	C₂²×C₄	semidirect
487. #2309	C₂²×C₄	semidirect
488. #2309	C₂²×C₄	semidirect
490. C₄×#120	C₂²×C₄	semidirect
498. #2285	C₂²×C₄	semidirect
499. #2280	C₂²×C₄	semidirect
511. C₄×#117	C₂²×C₄	semidirect
514. #2122	C₂×D₄	semidirect
519. C₂×AΣL(1,𝔽₁₆)	C₂×D₄	semidirect
593. C₂³×D₄	C₄×D₄	semidirect
633. #535	C₄×D₄	semidirect
688. C₂×#120	C₄×D₄	semidirect
736. C₂×#117	C₄×D₄	semidirect
790. #413	C₂²×D₄	semidirect
795. #410	C₂²×D₄	semidirect
820. AΣL(1,𝔽₁₆)	C₂²×D₄	semidirect
883. C₂²×D₄	C₂×C₄×D₄	semidirect
946. #120	C₂×C₄×D₄	semidirect
949. #117	C₂×C₄×D₄	semidirect
1101. C₂×C₄	#33348	semidirect
1124. C₄	C₂×#33348	semidirect
1128. C₂	#72286159	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#494683	2
C₂×#493744	2
C₂×C₄×#2122	2
C₂×#497353	2
C₂×#497293	2
C₂×#494701	2
C₂×#6379015	2
C₂×#495148	2
C₂×#495160	2
C₂×#6379033	2
C₂×D₄×AΣL(1,𝔽₁₆)	2
#72286159	2
C₂²×#33348	2
C₂×#7677118	2
C₂×#493425	2

Subgroups — C2×#72286159 #72338188

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#72286159 #72338188